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Finding the Fourth Proportional to 470,839.60, 706,259.40 and 436,279.60

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Solution

The fourth proportional to 470,839.60, 706,259.40 and 436,279.60 is: 654,419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,839.60 : 706,259.40 = 436,279.60 : x
  2. Step 2: Convert to fraction form
    470,839.60/706,259.40 = 436,279.60/x
  3. Step 3: Cross multiply
    470,839.60x = 706,259.40 × 436,279.60
  4. Step 4: Simplify right side
    470,839.60x = 308,126,568,528.24
  5. Step 5: Solve for x
    x = 308,126,568,528.24/470,839.60
  6. Step 6: Final answer
    x = 654,419.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.